β Property in Orlicz Sequence Spaces Equipped with s-norm
Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm，some basic properties of the s-norm are discussed firstly. Then, based on this, Φ∈δ2which is the criteria of H property of Orlicz sequence...
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| Main Authors: | , |
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| Format: | Article |
| Language: | Chinese |
| Published: |
Harbin University of Science and Technology Publications
2022-06-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2106 |
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| Summary: | Orlicz spaces equipped with s-norm is an extension of Orlicz spaces. In order to studing the H property and the property β in Orlicz space equipped with s-norm，some basic properties of the s-norm are discussed firstly. Then, based on this, Φ∈δ2which is the criteria of H property of Orlicz sequence spaces equipped with s-norm were given. In this paper, we get that the Orlicz sequence space equipped with s-norm have property β if and only if the spaces is reflexive，that is Φ∈δ2∩δ'2. |
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| ISSN: | 1007-2683 |